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Enter a value, an expression, or a term with a variable like 10^n+1 to list a range. Switch to Database id to look a number up by its stored id. Reading never stores anything; use Create to add a number to the database. See the expression syntax & functions reference.

P · Proven prime
id #1100000009055122293 2,225 digits created 2026-08-08

Value

20804059902859719907150358137117650173101140852235122558798824478132285744456249425878204238933185638005967801874603008312756501236509343776704817876314775876929181424911824747427350757937419975673488043587999709405947958845127170683975846274737498855262991894978709038579720831794881259769682228964359120725484829442829548284977210973743373475538372628473610909701090630010444990530435168324513911670303313419908954957563439105265401680865467919293660235071467821100507000575565392654307187711104767628196072985475929624896021361242761609672647635031403988709244626336759872368035994030977475245424663595954560900103641550978593234821309225723827536862595035922751577949826405397583227027667313641695136654313254730945931706602358763579292202123985748369109227116984950254848523580627530074740809759838022060264243365944847406428898987926885246688102622661749206371620206019924985421926792416431792872835957740718682081843847620431728549231914561296931115085413614320255494698577606649552004741255412876027575414912827241163103190132266626519909860517489064330592439017365677651030822290323661039202904817676818571426207300933234900319549381593475112989155464771405734177458426863609436683140862667129664673371538281495267031086089346750441464052085818223069701486067565250500164768263240166258889815565531851881712583568239137354574306840170377913747351605987642633332438141731920712800504643489801654363315957795132633823609489729452146885275669028357640249890326990972552590926878660979341037761448853106525658378027297404033853001858593568729786242206270420612056237733794748016831633207551326643912812827810854283709886780783820468859567374157793743800210898255010668726365070072828393161052735562012268698121347543108621969511204513286693184143571785932765283747258832000287948790836877002608979085601214816076117997473358697423189616622250039549121757042911298069716081594350975967543619465124768411122300696374258697005240054267894677960134035678450344287386348896999081047014082466109768568136177675387312288838884995447904985512061363744935766816826911937399280558430449480724603294045117583121786072310384651307471171219668759907588904946665072631268165216021349668074496308179117167926825083275978491535488545147
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 17 of the certificate chain of a 2,419-digit prime (185 intermediate primes).

Certified number2,419-digit prime
Certificatedownload
Certificate chainshow step 17 of 185

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009055122293 --detail 2 --decimal
curl
curl -s 'https://factordb.com:4059/rpc' -H 'Content-Type: application/json' -d '{"jsonrpc":"2.0","id":1,"method":"get_number","params":{"target":{"id":1100000009055122293},"decimal":true,"detail":2}}'